Name _________________________________ Period_________ Date___________________
Categorizing Numbers in the Subsets of Real Numbers
1, 2,3, 4,...
whole numbers 0,1, 2,3,...
integers ..., 3, 2, 2,0,1, 2,3,...
counting/natural numbers
irrational number: any number that cannot
be written as a quotient of two integers.
real numbers: consists of all rational and
irrational numbers.
rational number: any number that can be
a
written in the form of , where a and b are
b
integers and b is not 0. Note: all rational
numbers have decimal forms that terminate
or repeat.
Place each of the following numbers on the Venn diagram below.
5
1
3
0
1.7
2
 0.1212
22
7

6
4
9
8
Real Numbers
Rational Numbers
Integers
Whole Numbers
Counting
Numbers
Irrational Numbers